kN a pN convertidor - Kilonewton a Piconewton

Conversion derivation

Express both kN and pN in the same base unit N (newton), then cancel the shared base unit.

1. 1

   Rewrite kN in the base unit

   $$1\mathrm{kN}=1,000\mathrm{N}$$
2. 2

   Rewrite pN in the base unit

   $$1\mathrm{pN}=1\times 10^{-12}\mathrm{N}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kN}& =\frac{1,000\cancel{\mathrm{N}}}{1\times 10^{-12}\cancel{\mathrm{N}}}\times 1\mathrm{pN}\\ & =\frac{1,000}{1\times 10^{-12}}\mathrm{pN}\\ & =1\times 10^{15}\mathrm{pN}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{pN}& =\frac{1\times 10^{-12}\cancel{\mathrm{N}}}{1,000\cancel{\mathrm{N}}}\times 1\mathrm{kN}\\ & =\frac{1\times 10^{-12}}{1,000}\mathrm{kN}\\ & =1\times 10^{-15}\mathrm{kN}\end{array}$$